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Finding the Fourth Proportional to 3,841.64, 5,761.82 and 1,068.59

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Solution

The fourth proportional to 3,841.64, 5,761.82 and 1,068.59 is: 1,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.64 : 5,761.82 = 1,068.59 : x
  2. Step 2: Convert to fraction form
    3,841.64/5,761.82 = 1,068.59/x
  3. Step 3: Cross multiply
    3,841.64x = 5,761.82 × 1,068.59
  4. Step 4: Simplify right side
    3,841.64x = 6,157,038.81
  5. Step 5: Solve for x
    x = 6,157,038.81/3,841.64
  6. Step 6: Final answer
    x = 1,602.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.